Math Problem Statement
Find the value using log and antilog table: 3 .82 ÷[(4.347 x √.06063) ÷ (.8721)²]
Solution
To solve this problem using log and antilog tables, we will follow these steps:
Expression:
Step 1: Simplify the denominator
Part 1:
Using square root tables:
Part 2:
Part 3:
Using log tables:
- Logarithm of :
- Multiply by 2:
- Antilog of :
Now divide by :
So the denominator becomes .
Step 2: Simplify the numerator
The numerator is .
Step 3: Final division
Now divide by :
Final Answer:
The value of the expression is approximately:
Would you like me to show detailed steps on how logarithms and antilogs were calculated?
Relative Questions:
- How do you calculate square roots using logarithmic tables?
- What is the significance of using logarithms in division or multiplication?
- How can logarithm tables simplify solving complex expressions?
- What is the process for finding antilogs from log tables?
- How do errors in table approximations affect final results?
Tip: Always verify intermediate results when using logarithmic tables to avoid compounding errors.
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Math Problem Analysis
Mathematical Concepts
Logarithms
Antilogarithms
Square Root
Division
Formulas
log(ab) = log(a) + log(b)
antilog(x) = 10^x
Square root approximation using logarithms
Theorems
Properties of logarithms
Antilogarithmic calculations
Suitable Grade Level
Grades 10-12
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